Fractal Dependence on Initial Conditions of Coupled Inverted Pendula Model of Competition and Cooperation

• YOSHIDA Katsutoshi

  Department of Mechanical and Intelligent Engineering, Utsunomiya University

Abstract

A coupled inverted pendula model of competition and cooperation is proposed to obtain a purely mechanical implementation of dynamics comparable with the Lotka-Volterra competition dynamics. It is shown numerically that the proposed model can produce the four equilibria that can be compared to ecological coexistence, dominance, and scramble. It is also shown that the proposed model exhibits fractal dependence on initial conditions. The result implies that selection of the equilibria will be uncertain under finite accuracy of knowledge on initial conditions.

Journal

• Journal of System Design and Dynamics

  Journal of System Design and Dynamics 3 (6), 966-974, 2009

  The Japan Society of Mechanical Engineers

Keywords

• Multi-agent System
• Inverted Pendulum
• Penalty Method
• Fractal Dynamics
• Uncertainty

Details

• CRID: 1390282680247833728
• NII Article ID: 130000150751
• DOI: 10.1299/jsdd.3.966
• ISSN: 18813046
• Web Site: http://www.jstage.jst.go.jp/article/jsdd/3/6/3_6_966/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed